Counterexamples in Topology

Front Cover
Courier Corporation, 1995 - Mathematics - 244 pages
6 Reviews
Over 140 examples, preceded by a succinct exposition of general topology and basic terminology. Each example treated as a whole. Over 25 Venn diagrams and charts summarize properties of the examples, while discussions of general methods of construction and change give readers insight into constructing counterexamples. Extensive collection of problems and exercises, correlated with examples. Bibliography. 1978 edition.
  

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Review: Counterexamples in Topology

User Review  - Stephen - Goodreads

As the title states, this book provides counterexamples in topology (that you were probably too lazy to come up with). Some of the examples were very critical in understanding topology at the ... Read full review

Review: Counterexamples in Topology

User Review  - psb - Goodreads

I might have debated whether to give this 4 or 5 stars if it had been a +$50 math book, but at $10, "the choice (function) is clear ..." Read full review

Contents

General Introduction
3
Filters
9
Compactnesa
18
Connectedness
28
Finite Discrete Topology
41
EitherOr Topology
48
Euclidean Topology
56
One Point Compactification Topology
63
StoneCech Compactification
129
StoneCech Compactification of the Integers
132
Novak Space
134
Strong Ultrafilter Topology
135
Single Ultrafilter Topology
136
Nested Rectangles
137
The Infinite Broom
139
The Integer Broom
140

Uncountable Discrete Ordinal Space
70
Nested Interval Topology
76
Relatively Prime Integer Topology
82
Indiacrete Rational Extension of R
88
Deleted Diameter Topology
94
HalfDisc Topology
96
Irregular Lattice Topology
97
Arens Square
98
Simplified Arens Square
100
Metrizahle Tangent Disc Topology
103
Michaels Product Topology
105
Tychonof f Plank
106
Alexandrof f Plank
107
Dieudonne Plank
108
Tychonof f Corkscrew
109
Hewitts Condensed Corkscrew
111
Thomas Plank
113
Weak Parallel Line Topology
114
Concentric Circles
116
Appert Space
117
Maximal Compact Topology
118
Minimal Hausdorff Topology
119
Alexandrof f Square
120
Z
121
Uncountahle Products of Z+
123
Baire Product Metric on R
124
I 125 106 O9 X I
126
Helly Space
127
C01 128 109 Box Product Topology on R
128
The Infinite Cage
141
Bernsteins Connected Sets
142
Roys Lattice Space
143
Cantors Leaky Tent
145
A PseudoArc
147
Millers Biconnected Set
149
Wheel without Its Hub
150
Bounded Metrics
151
Sierpinskis Metric Space
152
Duncans Space
153
Cauchy Completion
154
The Post Office Metric
155
Radial Interval Topology
156
Bings Discrete Extension Space
157
Fur Ill METIIZATION THEORY Conjectures and Counterexamples
161
APPENDICES
183
Special Reference Charts
185
Separation Axiom Chart
187
Compactness Chm
188
Paracompactness Chart 090
191
Disconnectedness Chart
192
Metrizability Chart
193
General Reference Chart
195
Problems
205
68
210
Notes
213
Bibliography
228
nder
236
Copyright

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Topologie
Klaus Jšnich
No preview available - 2008
Principles of Topology
Fred H. Croom
No preview available - 2002
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